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Finding the Fourth Proportional to 405.86, 560.34 and 312.43

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Solution

The fourth proportional to 405.86, 560.34 and 312.43 is: 431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.86 : 560.34 = 312.43 : x
  2. Step 2: Convert to fraction form
    405.86/560.34 = 312.43/x
  3. Step 3: Cross multiply
    405.86x = 560.34 × 312.43
  4. Step 4: Simplify right side
    405.86x = 175,065.63
  5. Step 5: Solve for x
    x = 175,065.63/405.86
  6. Step 6: Final answer
    x = 431.35

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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.