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Finding the Fourth Proportional to 472.17, 707.64 and 197.93

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Solution

The fourth proportional to 472.17, 707.64 and 197.93 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.17 : 707.64 = 197.93 : x
  2. Step 2: Convert to fraction form
    472.17/707.64 = 197.93/x
  3. Step 3: Cross multiply
    472.17x = 707.64 × 197.93
  4. Step 4: Simplify right side
    472.17x = 140,063.19
  5. Step 5: Solve for x
    x = 140,063.19/472.17
  6. Step 6: Final answer
    x = 296.64

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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.