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Finding the Fourth Proportional to 493.02, 738.85 and 287.30

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Solution

The fourth proportional to 493.02, 738.85 and 287.30 is: 430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.02 : 738.85 = 287.30 : x
  2. Step 2: Convert to fraction form
    493.02/738.85 = 287.30/x
  3. Step 3: Cross multiply
    493.02x = 738.85 × 287.30
  4. Step 4: Simplify right side
    493.02x = 212,271.61
  5. Step 5: Solve for x
    x = 212,271.61/493.02
  6. Step 6: Final answer
    x = 430.55

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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.