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Finding the Fourth Proportional to 314.40, 473.68 and 271.20

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Solution

The fourth proportional to 314.40, 473.68 and 271.20 is: 408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.40 : 473.68 = 271.20 : x
  2. Step 2: Convert to fraction form
    314.40/473.68 = 271.20/x
  3. Step 3: Cross multiply
    314.40x = 473.68 × 271.20
  4. Step 4: Simplify right side
    314.40x = 128,462.02
  5. Step 5: Solve for x
    x = 128,462.02/314.40
  6. Step 6: Final answer
    x = 408.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.