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Finding the Fourth Proportional to 314.79, 470.07 and 257.13

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Solution

The fourth proportional to 314.79, 470.07 and 257.13 is: 383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.79 : 470.07 = 257.13 : x
  2. Step 2: Convert to fraction form
    314.79/470.07 = 257.13/x
  3. Step 3: Cross multiply
    314.79x = 470.07 × 257.13
  4. Step 4: Simplify right side
    314.79x = 120,868.78
  5. Step 5: Solve for x
    x = 120,868.78/314.79
  6. Step 6: Final answer
    x = 383.96

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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.