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Finding the Fourth Proportional to 436.17, 600.95 and 280.65

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Solution

The fourth proportional to 436.17, 600.95 and 280.65 is: 386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.17 : 600.95 = 280.65 : x
  2. Step 2: Convert to fraction form
    436.17/600.95 = 280.65/x
  3. Step 3: Cross multiply
    436.17x = 600.95 × 280.65
  4. Step 4: Simplify right side
    436.17x = 168,655.21
  5. Step 5: Solve for x
    x = 168,655.21/436.17
  6. Step 6: Final answer
    x = 386.67

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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.