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Finding the Fourth Proportional to 314.94, 472.38 and 98.50

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Solution

The fourth proportional to 314.94, 472.38 and 98.50 is: 147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.94 : 472.38 = 98.50 : x
  2. Step 2: Convert to fraction form
    314.94/472.38 = 98.50/x
  3. Step 3: Cross multiply
    314.94x = 472.38 × 98.50
  4. Step 4: Simplify right side
    314.94x = 46,529.43
  5. Step 5: Solve for x
    x = 46,529.43/314.94
  6. Step 6: Final answer
    x = 147.74

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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.