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Finding the Fourth Proportional to 407.18, 613.13 and 299.72

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Solution

The fourth proportional to 407.18, 613.13 and 299.72 is: 451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.18 : 613.13 = 299.72 : x
  2. Step 2: Convert to fraction form
    407.18/613.13 = 299.72/x
  3. Step 3: Cross multiply
    407.18x = 613.13 × 299.72
  4. Step 4: Simplify right side
    407.18x = 183,767.32
  5. Step 5: Solve for x
    x = 183,767.32/407.18
  6. Step 6: Final answer
    x = 451.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.