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Finding the Fourth Proportional to 384.62, 531.15 and 274.10

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Solution

The fourth proportional to 384.62, 531.15 and 274.10 is: 378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.62 : 531.15 = 274.10 : x
  2. Step 2: Convert to fraction form
    384.62/531.15 = 274.10/x
  3. Step 3: Cross multiply
    384.62x = 531.15 × 274.10
  4. Step 4: Simplify right side
    384.62x = 145,588.22
  5. Step 5: Solve for x
    x = 145,588.22/384.62
  6. Step 6: Final answer
    x = 378.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.