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Finding the Fourth Proportional to 422.19, 582.24 and 304.11

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Solution

The fourth proportional to 422.19, 582.24 and 304.11 is: 419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.19 : 582.24 = 304.11 : x
  2. Step 2: Convert to fraction form
    422.19/582.24 = 304.11/x
  3. Step 3: Cross multiply
    422.19x = 582.24 × 304.11
  4. Step 4: Simplify right side
    422.19x = 177,065.01
  5. Step 5: Solve for x
    x = 177,065.01/422.19
  6. Step 6: Final answer
    x = 419.40

Related Problems

Find fourth proportional to 211.10, 291.12 and 152.06
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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.