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Finding the Fourth Proportional to 477.24, 715.91 and 230.37

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Solution

The fourth proportional to 477.24, 715.91 and 230.37 is: 345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.24 : 715.91 = 230.37 : x
  2. Step 2: Convert to fraction form
    477.24/715.91 = 230.37/x
  3. Step 3: Cross multiply
    477.24x = 715.91 × 230.37
  4. Step 4: Simplify right side
    477.24x = 164,923.03
  5. Step 5: Solve for x
    x = 164,923.03/477.24
  6. Step 6: Final answer
    x = 345.58

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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.