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Finding the Fourth Proportional to 424.32, 584.80 and 346.08

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Solution

The fourth proportional to 424.32, 584.80 and 346.08 is: 476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.32 : 584.80 = 346.08 : x
  2. Step 2: Convert to fraction form
    424.32/584.80 = 346.08/x
  3. Step 3: Cross multiply
    424.32x = 584.80 × 346.08
  4. Step 4: Simplify right side
    424.32x = 202,387.58
  5. Step 5: Solve for x
    x = 202,387.58/424.32
  6. Step 6: Final answer
    x = 476.97

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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.