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Finding the Fourth Proportional to 384.80, 529.89 and 325.87

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Solution

The fourth proportional to 384.80, 529.89 and 325.87 is: 448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.80 : 529.89 = 325.87 : x
  2. Step 2: Convert to fraction form
    384.80/529.89 = 325.87/x
  3. Step 3: Cross multiply
    384.80x = 529.89 × 325.87
  4. Step 4: Simplify right side
    384.80x = 172,677.52
  5. Step 5: Solve for x
    x = 172,677.52/384.80
  6. Step 6: Final answer
    x = 448.75

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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.