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Finding the Fourth Proportional to 315.90, 474.66 and 255.15

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Solution

The fourth proportional to 315.90, 474.66 and 255.15 is: 383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.90 : 474.66 = 255.15 : x
  2. Step 2: Convert to fraction form
    315.90/474.66 = 255.15/x
  3. Step 3: Cross multiply
    315.90x = 474.66 × 255.15
  4. Step 4: Simplify right side
    315.90x = 121,109.50
  5. Step 5: Solve for x
    x = 121,109.50/315.90
  6. Step 6: Final answer
    x = 383.38

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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.