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Finding the Fourth Proportional to 384.78, 531.06 and 361.35

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Solution

The fourth proportional to 384.78, 531.06 and 361.35 is: 498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.78 : 531.06 = 361.35 : x
  2. Step 2: Convert to fraction form
    384.78/531.06 = 361.35/x
  3. Step 3: Cross multiply
    384.78x = 531.06 × 361.35
  4. Step 4: Simplify right side
    384.78x = 191,898.53
  5. Step 5: Solve for x
    x = 191,898.53/384.78
  6. Step 6: Final answer
    x = 498.72

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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.