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Finding the Fourth Proportional to 315.18, 474.59 and 260.86

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Solution

The fourth proportional to 315.18, 474.59 and 260.86 is: 392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.18 : 474.59 = 260.86 : x
  2. Step 2: Convert to fraction form
    315.18/474.59 = 260.86/x
  3. Step 3: Cross multiply
    315.18x = 474.59 × 260.86
  4. Step 4: Simplify right side
    315.18x = 123,801.55
  5. Step 5: Solve for x
    x = 123,801.55/315.18
  6. Step 6: Final answer
    x = 392.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.