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Finding the Fourth Proportional to 421.19, 580.80 and 255.34

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Solution

The fourth proportional to 421.19, 580.80 and 255.34 is: 352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.19 : 580.80 = 255.34 : x
  2. Step 2: Convert to fraction form
    421.19/580.80 = 255.34/x
  3. Step 3: Cross multiply
    421.19x = 580.80 × 255.34
  4. Step 4: Simplify right side
    421.19x = 148,301.47
  5. Step 5: Solve for x
    x = 148,301.47/421.19
  6. Step 6: Final answer
    x = 352.10

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Double scale
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1.5x scale

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.