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Finding the Fourth Proportional to 314.95, 472.49 and 98.53

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Solution

The fourth proportional to 314.95, 472.49 and 98.53 is: 147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.95 : 472.49 = 98.53 : x
  2. Step 2: Convert to fraction form
    314.95/472.49 = 98.53/x
  3. Step 3: Cross multiply
    314.95x = 472.49 × 98.53
  4. Step 4: Simplify right side
    314.95x = 46,554.44
  5. Step 5: Solve for x
    x = 46,554.44/314.95
  6. Step 6: Final answer
    x = 147.82

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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.