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Finding the Fourth Proportional to 315.42, 471 and 257.76

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Solution

The fourth proportional to 315.42, 471 and 257.76 is: 384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.42 : 471 = 257.76 : x
  2. Step 2: Convert to fraction form
    315.42/471 = 257.76/x
  3. Step 3: Cross multiply
    315.42x = 471 × 257.76
  4. Step 4: Simplify right side
    315.42x = 121,402.61
  5. Step 5: Solve for x
    x = 121,402.61/315.42
  6. Step 6: Final answer
    x = 384.89

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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.