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Finding the Fourth Proportional to 385.17, 530.40 and 260.79

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Solution

The fourth proportional to 385.17, 530.40 and 260.79 is: 359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.17 : 530.40 = 260.79 : x
  2. Step 2: Convert to fraction form
    385.17/530.40 = 260.79/x
  3. Step 3: Cross multiply
    385.17x = 530.40 × 260.79
  4. Step 4: Simplify right side
    385.17x = 138,323.02
  5. Step 5: Solve for x
    x = 138,323.02/385.17
  6. Step 6: Final answer
    x = 359.12

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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.