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Finding the Fourth Proportional to 488.02, 673.34 and 288.79

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Solution

The fourth proportional to 488.02, 673.34 and 288.79 is: 398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.02 : 673.34 = 288.79 : x
  2. Step 2: Convert to fraction form
    488.02/673.34 = 288.79/x
  3. Step 3: Cross multiply
    488.02x = 673.34 × 288.79
  4. Step 4: Simplify right side
    488.02x = 194,453.86
  5. Step 5: Solve for x
    x = 194,453.86/488.02
  6. Step 6: Final answer
    x = 398.45

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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.