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Finding the Fourth Proportional to 315.20, 470.68 and 257.54

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Solution

The fourth proportional to 315.20, 470.68 and 257.54 is: 384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.20 : 470.68 = 257.54 : x
  2. Step 2: Convert to fraction form
    315.20/470.68 = 257.54/x
  3. Step 3: Cross multiply
    315.20x = 470.68 × 257.54
  4. Step 4: Simplify right side
    315.20x = 121,215.29
  5. Step 5: Solve for x
    x = 121,215.29/315.20
  6. Step 6: Final answer
    x = 384.57

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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.