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Finding the Fourth Proportional to 477.10, 715.65 and 188.74

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Solution

The fourth proportional to 477.10, 715.65 and 188.74 is: 283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.10 : 715.65 = 188.74 : x
  2. Step 2: Convert to fraction form
    477.10/715.65 = 188.74/x
  3. Step 3: Cross multiply
    477.10x = 715.65 × 188.74
  4. Step 4: Simplify right side
    477.10x = 135,071.78
  5. Step 5: Solve for x
    x = 135,071.78/477.10
  6. Step 6: Final answer
    x = 283.11

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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.