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Finding the Fourth Proportional to 314.64, 473.82 and 274.54

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Solution

The fourth proportional to 314.64, 473.82 and 274.54 is: 413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.64 : 473.82 = 274.54 : x
  2. Step 2: Convert to fraction form
    314.64/473.82 = 274.54/x
  3. Step 3: Cross multiply
    314.64x = 473.82 × 274.54
  4. Step 4: Simplify right side
    314.64x = 130,082.54
  5. Step 5: Solve for x
    x = 130,082.54/314.64
  6. Step 6: Final answer
    x = 413.43

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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.