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Finding the Fourth Proportional to 315.92, 471.75 and 258.26

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Solution

The fourth proportional to 315.92, 471.75 and 258.26 is: 385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.92 : 471.75 = 258.26 : x
  2. Step 2: Convert to fraction form
    315.92/471.75 = 258.26/x
  3. Step 3: Cross multiply
    315.92x = 471.75 × 258.26
  4. Step 4: Simplify right side
    315.92x = 121,834.16
  5. Step 5: Solve for x
    x = 121,834.16/315.92
  6. Step 6: Final answer
    x = 385.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.