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Finding the Fourth Proportional to 385.16, 531.72 and 260.91

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Solution

The fourth proportional to 385.16, 531.72 and 260.91 is: 360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.16 : 531.72 = 260.91 : x
  2. Step 2: Convert to fraction form
    385.16/531.72 = 260.91/x
  3. Step 3: Cross multiply
    385.16x = 531.72 × 260.91
  4. Step 4: Simplify right side
    385.16x = 138,731.07
  5. Step 5: Solve for x
    x = 138,731.07/385.16
  6. Step 6: Final answer
    x = 360.20

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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.