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Finding the Fourth Proportional to 405.76, 560.38 and 307.76

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Solution

The fourth proportional to 405.76, 560.38 and 307.76 is: 425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.76 : 560.38 = 307.76 : x
  2. Step 2: Convert to fraction form
    405.76/560.38 = 307.76/x
  3. Step 3: Cross multiply
    405.76x = 560.38 × 307.76
  4. Step 4: Simplify right side
    405.76x = 172,462.55
  5. Step 5: Solve for x
    x = 172,462.55/405.76
  6. Step 6: Final answer
    x = 425.04

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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.