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Finding the Fourth Proportional to 397.51, 595.17 and 299.72

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Solution

The fourth proportional to 397.51, 595.17 and 299.72 is: 448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.51 : 595.17 = 299.72 : x
  2. Step 2: Convert to fraction form
    397.51/595.17 = 299.72/x
  3. Step 3: Cross multiply
    397.51x = 595.17 × 299.72
  4. Step 4: Simplify right side
    397.51x = 178,384.59
  5. Step 5: Solve for x
    x = 178,384.59/397.51
  6. Step 6: Final answer
    x = 448.75

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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.