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Finding the Fourth Proportional to 314.57, 471.90 and 256.65

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Solution

The fourth proportional to 314.57, 471.90 and 256.65 is: 385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.57 : 471.90 = 256.65 : x
  2. Step 2: Convert to fraction form
    314.57/471.90 = 256.65/x
  3. Step 3: Cross multiply
    314.57x = 471.90 × 256.65
  4. Step 4: Simplify right side
    314.57x = 121,113.14
  5. Step 5: Solve for x
    x = 121,113.14/314.57
  6. Step 6: Final answer
    x = 385.01

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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.