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Finding the Fourth Proportional to 477.06, 715.61 and 188.47

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Solution

The fourth proportional to 477.06, 715.61 and 188.47 is: 282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.06 : 715.61 = 188.47 : x
  2. Step 2: Convert to fraction form
    477.06/715.61 = 188.47/x
  3. Step 3: Cross multiply
    477.06x = 715.61 × 188.47
  4. Step 4: Simplify right side
    477.06x = 134,871.02
  5. Step 5: Solve for x
    x = 134,871.02/477.06
  6. Step 6: Final answer
    x = 282.71

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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.