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Finding the Fourth Proportional to 424.25, 585.48 and 237.77

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Solution

The fourth proportional to 424.25, 585.48 and 237.77 is: 328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.25 : 585.48 = 237.77 : x
  2. Step 2: Convert to fraction form
    424.25/585.48 = 237.77/x
  3. Step 3: Cross multiply
    424.25x = 585.48 × 237.77
  4. Step 4: Simplify right side
    424.25x = 139,209.58
  5. Step 5: Solve for x
    x = 139,209.58/424.25
  6. Step 6: Final answer
    x = 328.13

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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.