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Finding the Fourth Proportional to 438.76, 654.61 and 367.08

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Solution

The fourth proportional to 438.76, 654.61 and 367.08 is: 547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.76 : 654.61 = 367.08 : x
  2. Step 2: Convert to fraction form
    438.76/654.61 = 367.08/x
  3. Step 3: Cross multiply
    438.76x = 654.61 × 367.08
  4. Step 4: Simplify right side
    438.76x = 240,294.24
  5. Step 5: Solve for x
    x = 240,294.24/438.76
  6. Step 6: Final answer
    x = 547.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.