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Finding the Fourth Proportional to 405.72, 560.07 and 312.43

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Solution

The fourth proportional to 405.72, 560.07 and 312.43 is: 431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.72 : 560.07 = 312.43 : x
  2. Step 2: Convert to fraction form
    405.72/560.07 = 312.43/x
  3. Step 3: Cross multiply
    405.72x = 560.07 × 312.43
  4. Step 4: Simplify right side
    405.72x = 174,982.67
  5. Step 5: Solve for x
    x = 174,982.67/405.72
  6. Step 6: Final answer
    x = 431.29

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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.