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Finding the Fourth Proportional to 407.87, 612.13 and 212.93

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Solution

The fourth proportional to 407.87, 612.13 and 212.93 is: 319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.87 : 612.13 = 212.93 : x
  2. Step 2: Convert to fraction form
    407.87/612.13 = 212.93/x
  3. Step 3: Cross multiply
    407.87x = 612.13 × 212.93
  4. Step 4: Simplify right side
    407.87x = 130,337.78
  5. Step 5: Solve for x
    x = 130,337.78/407.87
  6. Step 6: Final answer
    x = 319.56

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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.