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Finding the Fourth Proportional to 407.70, 561.87 and 296.87

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Solution

The fourth proportional to 407.70, 561.87 and 296.87 is: 409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.70 : 561.87 = 296.87 : x
  2. Step 2: Convert to fraction form
    407.70/561.87 = 296.87/x
  3. Step 3: Cross multiply
    407.70x = 561.87 × 296.87
  4. Step 4: Simplify right side
    407.70x = 166,799.54
  5. Step 5: Solve for x
    x = 166,799.54/407.70
  6. Step 6: Final answer
    x = 409.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.