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Finding the Fourth Proportional to 402.35, 603.57 and 145.79

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Solution

The fourth proportional to 402.35, 603.57 and 145.79 is: 218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.35 : 603.57 = 145.79 : x
  2. Step 2: Convert to fraction form
    402.35/603.57 = 145.79/x
  3. Step 3: Cross multiply
    402.35x = 603.57 × 145.79
  4. Step 4: Simplify right side
    402.35x = 87,994.47
  5. Step 5: Solve for x
    x = 87,994.47/402.35
  6. Step 6: Final answer
    x = 218.70

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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.