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Finding the Fourth Proportional to 477.24, 715.92 and 188.64

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Solution

The fourth proportional to 477.24, 715.92 and 188.64 is: 282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.24 : 715.92 = 188.64 : x
  2. Step 2: Convert to fraction form
    477.24/715.92 = 188.64/x
  3. Step 3: Cross multiply
    477.24x = 715.92 × 188.64
  4. Step 4: Simplify right side
    477.24x = 135,051.15
  5. Step 5: Solve for x
    x = 135,051.15/477.24
  6. Step 6: Final answer
    x = 282.98

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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.