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Finding the Fourth Proportional to 407.70, 562.63 and 221.19

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Solution

The fourth proportional to 407.70, 562.63 and 221.19 is: 305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.70 : 562.63 = 221.19 : x
  2. Step 2: Convert to fraction form
    407.70/562.63 = 221.19/x
  3. Step 3: Cross multiply
    407.70x = 562.63 × 221.19
  4. Step 4: Simplify right side
    407.70x = 124,448.13
  5. Step 5: Solve for x
    x = 124,448.13/407.70
  6. Step 6: Final answer
    x = 305.24

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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.