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Finding the Fourth Proportional to 314.92, 470.26 and 257.26

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Solution

The fourth proportional to 314.92, 470.26 and 257.26 is: 384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.92 : 470.26 = 257.26 : x
  2. Step 2: Convert to fraction form
    314.92/470.26 = 257.26/x
  3. Step 3: Cross multiply
    314.92x = 470.26 × 257.26
  4. Step 4: Simplify right side
    314.92x = 120,975.45
  5. Step 5: Solve for x
    x = 120,975.45/314.92
  6. Step 6: Final answer
    x = 384.15

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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.