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Finding the Fourth Proportional to 405.96, 560.25 and 318.48

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Solution

The fourth proportional to 405.96, 560.25 and 318.48 is: 439.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.96 : 560.25 = 318.48 : x
  2. Step 2: Convert to fraction form
    405.96/560.25 = 318.48/x
  3. Step 3: Cross multiply
    405.96x = 560.25 × 318.48
  4. Step 4: Simplify right side
    405.96x = 178,428.42
  5. Step 5: Solve for x
    x = 178,428.42/405.96
  6. Step 6: Final answer
    x = 439.52

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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.