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Finding the Fourth Proportional to 384.92, 531.40 and 260.78

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Solution

The fourth proportional to 384.92, 531.40 and 260.78 is: 360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.92 : 531.40 = 260.78 : x
  2. Step 2: Convert to fraction form
    384.92/531.40 = 260.78/x
  3. Step 3: Cross multiply
    384.92x = 531.40 × 260.78
  4. Step 4: Simplify right side
    384.92x = 138,578.49
  5. Step 5: Solve for x
    x = 138,578.49/384.92
  6. Step 6: Final answer
    x = 360.02

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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.