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Finding the Fourth Proportional to 314.95, 471.57 and 177.79

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Solution

The fourth proportional to 314.95, 471.57 and 177.79 is: 266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.95 : 471.57 = 177.79 : x
  2. Step 2: Convert to fraction form
    314.95/471.57 = 177.79/x
  3. Step 3: Cross multiply
    314.95x = 471.57 × 177.79
  4. Step 4: Simplify right side
    314.95x = 83,838.07
  5. Step 5: Solve for x
    x = 83,838.07/314.95
  6. Step 6: Final answer
    x = 266.20

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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.