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Finding the Fourth Proportional to 314.14, 470.85 and 278.14

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Solution

The fourth proportional to 314.14, 470.85 and 278.14 is: 416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.14 : 470.85 = 278.14 : x
  2. Step 2: Convert to fraction form
    314.14/470.85 = 278.14/x
  3. Step 3: Cross multiply
    314.14x = 470.85 × 278.14
  4. Step 4: Simplify right side
    314.14x = 130,962.22
  5. Step 5: Solve for x
    x = 130,962.22/314.14
  6. Step 6: Final answer
    x = 416.89

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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.