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Finding the Fourth Proportional to 424.64, 637.12 and 208.32

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Solution

The fourth proportional to 424.64, 637.12 and 208.32 is: 312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.64 : 637.12 = 208.32 : x
  2. Step 2: Convert to fraction form
    424.64/637.12 = 208.32/x
  3. Step 3: Cross multiply
    424.64x = 637.12 × 208.32
  4. Step 4: Simplify right side
    424.64x = 132,724.84
  5. Step 5: Solve for x
    x = 132,724.84/424.64
  6. Step 6: Final answer
    x = 312.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.