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Finding the Fourth Proportional to 448.10, 671.55 and 242.66

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Solution

The fourth proportional to 448.10, 671.55 and 242.66 is: 363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.10 : 671.55 = 242.66 : x
  2. Step 2: Convert to fraction form
    448.10/671.55 = 242.66/x
  3. Step 3: Cross multiply
    448.10x = 671.55 × 242.66
  4. Step 4: Simplify right side
    448.10x = 162,958.32
  5. Step 5: Solve for x
    x = 162,958.32/448.10
  6. Step 6: Final answer
    x = 363.67

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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.