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Finding the Fourth Proportional to 430.24, 592.87 and 282.61

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Solution

The fourth proportional to 430.24, 592.87 and 282.61 is: 389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.24 : 592.87 = 282.61 : x
  2. Step 2: Convert to fraction form
    430.24/592.87 = 282.61/x
  3. Step 3: Cross multiply
    430.24x = 592.87 × 282.61
  4. Step 4: Simplify right side
    430.24x = 167,550.99
  5. Step 5: Solve for x
    x = 167,550.99/430.24
  6. Step 6: Final answer
    x = 389.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.