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Finding the Fourth Proportional to 448.19, 671.67 and 242.85

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Solution

The fourth proportional to 448.19, 671.67 and 242.85 is: 363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.19 : 671.67 = 242.85 : x
  2. Step 2: Convert to fraction form
    448.19/671.67 = 242.85/x
  3. Step 3: Cross multiply
    448.19x = 671.67 × 242.85
  4. Step 4: Simplify right side
    448.19x = 163,115.06
  5. Step 5: Solve for x
    x = 163,115.06/448.19
  6. Step 6: Final answer
    x = 363.94

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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.