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Finding the Fourth Proportional to 384.68, 531.42 and 332.84

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Solution

The fourth proportional to 384.68, 531.42 and 332.84 is: 459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.68 : 531.42 = 332.84 : x
  2. Step 2: Convert to fraction form
    384.68/531.42 = 332.84/x
  3. Step 3: Cross multiply
    384.68x = 531.42 × 332.84
  4. Step 4: Simplify right side
    384.68x = 176,877.83
  5. Step 5: Solve for x
    x = 176,877.83/384.68
  6. Step 6: Final answer
    x = 459.81

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