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Finding the Fourth Proportional to 314.32, 470.78 and 310.54

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Solution

The fourth proportional to 314.32, 470.78 and 310.54 is: 465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.32 : 470.78 = 310.54 : x
  2. Step 2: Convert to fraction form
    314.32/470.78 = 310.54/x
  3. Step 3: Cross multiply
    314.32x = 470.78 × 310.54
  4. Step 4: Simplify right side
    314.32x = 146,196.02
  5. Step 5: Solve for x
    x = 146,196.02/314.32
  6. Step 6: Final answer
    x = 465.12

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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.