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Finding the Fourth Proportional to 488.13, 673.55 and 278.24

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Solution

The fourth proportional to 488.13, 673.55 and 278.24 is: 383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.13 : 673.55 = 278.24 : x
  2. Step 2: Convert to fraction form
    488.13/673.55 = 278.24/x
  3. Step 3: Cross multiply
    488.13x = 673.55 × 278.24
  4. Step 4: Simplify right side
    488.13x = 187,404.84
  5. Step 5: Solve for x
    x = 187,404.84/488.13
  6. Step 6: Final answer
    x = 383.93

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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.