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Finding the Fourth Proportional to 384.06, 572.38 and 375.82

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Solution

The fourth proportional to 384.06, 572.38 and 375.82 is: 560.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.06 : 572.38 = 375.82 : x
  2. Step 2: Convert to fraction form
    384.06/572.38 = 375.82/x
  3. Step 3: Cross multiply
    384.06x = 572.38 × 375.82
  4. Step 4: Simplify right side
    384.06x = 215,111.85
  5. Step 5: Solve for x
    x = 215,111.85/384.06
  6. Step 6: Final answer
    x = 560.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.