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Finding the Fourth Proportional to 384.32, 575.68 and 188.74

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Solution

The fourth proportional to 384.32, 575.68 and 188.74 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.32 : 575.68 = 188.74 : x
  2. Step 2: Convert to fraction form
    384.32/575.68 = 188.74/x
  3. Step 3: Cross multiply
    384.32x = 575.68 × 188.74
  4. Step 4: Simplify right side
    384.32x = 108,655.79
  5. Step 5: Solve for x
    x = 108,655.79/384.32
  6. Step 6: Final answer
    x = 282.72

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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.