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Finding the Fourth Proportional to 355.23, 531.66 and 260.91

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Solution

The fourth proportional to 355.23, 531.66 and 260.91 is: 390.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.23 : 531.66 = 260.91 : x
  2. Step 2: Convert to fraction form
    355.23/531.66 = 260.91/x
  3. Step 3: Cross multiply
    355.23x = 531.66 × 260.91
  4. Step 4: Simplify right side
    355.23x = 138,715.41
  5. Step 5: Solve for x
    x = 138,715.41/355.23
  6. Step 6: Final answer
    x = 390.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.