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Finding the Fourth Proportional to 315.02, 472.50 and 141.70

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Solution

The fourth proportional to 315.02, 472.50 and 141.70 is: 212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.02 : 472.50 = 141.70 : x
  2. Step 2: Convert to fraction form
    315.02/472.50 = 141.70/x
  3. Step 3: Cross multiply
    315.02x = 472.50 × 141.70
  4. Step 4: Simplify right side
    315.02x = 66,953.25
  5. Step 5: Solve for x
    x = 66,953.25/315.02
  6. Step 6: Final answer
    x = 212.54

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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.