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Finding the Fourth Proportional to 314.12, 470.10 and 277.40

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Solution

The fourth proportional to 314.12, 470.10 and 277.40 is: 415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.12 : 470.10 = 277.40 : x
  2. Step 2: Convert to fraction form
    314.12/470.10 = 277.40/x
  3. Step 3: Cross multiply
    314.12x = 470.10 × 277.40
  4. Step 4: Simplify right side
    314.12x = 130,405.74
  5. Step 5: Solve for x
    x = 130,405.74/314.12
  6. Step 6: Final answer
    x = 415.15

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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.