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Finding the Fourth Proportional to 314.53, 431.52 and 299.03

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Solution

The fourth proportional to 314.53, 431.52 and 299.03 is: 410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.53 : 431.52 = 299.03 : x
  2. Step 2: Convert to fraction form
    314.53/431.52 = 299.03/x
  3. Step 3: Cross multiply
    314.53x = 431.52 × 299.03
  4. Step 4: Simplify right side
    314.53x = 129,038.50
  5. Step 5: Solve for x
    x = 129,038.50/314.53
  6. Step 6: Final answer
    x = 410.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.