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Finding the Fourth Proportional to 405.86, 560.36 and 256.54

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Solution

The fourth proportional to 405.86, 560.36 and 256.54 is: 354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.86 : 560.36 = 256.54 : x
  2. Step 2: Convert to fraction form
    405.86/560.36 = 256.54/x
  3. Step 3: Cross multiply
    405.86x = 560.36 × 256.54
  4. Step 4: Simplify right side
    405.86x = 143,754.75
  5. Step 5: Solve for x
    x = 143,754.75/405.86
  6. Step 6: Final answer
    x = 354.20

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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.