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Finding the Fourth Proportional to 432.13, 595.49 and 307.44

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Solution

The fourth proportional to 432.13, 595.49 and 307.44 is: 423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.13 : 595.49 = 307.44 : x
  2. Step 2: Convert to fraction form
    432.13/595.49 = 307.44/x
  3. Step 3: Cross multiply
    432.13x = 595.49 × 307.44
  4. Step 4: Simplify right side
    432.13x = 183,077.45
  5. Step 5: Solve for x
    x = 183,077.45/432.13
  6. Step 6: Final answer
    x = 423.66

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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.