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Finding the Fourth Proportional to 537.99, 807.28 and 230.07

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Solution

The fourth proportional to 537.99, 807.28 and 230.07 is: 345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.99 : 807.28 = 230.07 : x
  2. Step 2: Convert to fraction form
    537.99/807.28 = 230.07/x
  3. Step 3: Cross multiply
    537.99x = 807.28 × 230.07
  4. Step 4: Simplify right side
    537.99x = 185,733.36
  5. Step 5: Solve for x
    x = 185,733.36/537.99
  6. Step 6: Final answer
    x = 345.24

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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.