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Finding the Fourth Proportional to 384.86, 531.32 and 260.70

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Solution

The fourth proportional to 384.86, 531.32 and 260.70 is: 359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.86 : 531.32 = 260.70 : x
  2. Step 2: Convert to fraction form
    384.86/531.32 = 260.70/x
  3. Step 3: Cross multiply
    384.86x = 531.32 × 260.70
  4. Step 4: Simplify right side
    384.86x = 138,513.82
  5. Step 5: Solve for x
    x = 138,513.82/384.86
  6. Step 6: Final answer
    x = 359.91

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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.