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Finding the Fourth Proportional to 405.91, 560.20 and 248.65

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Solution

The fourth proportional to 405.91, 560.20 and 248.65 is: 343.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.91 : 560.20 = 248.65 : x
  2. Step 2: Convert to fraction form
    405.91/560.20 = 248.65/x
  3. Step 3: Cross multiply
    405.91x = 560.20 × 248.65
  4. Step 4: Simplify right side
    405.91x = 139,290.93
  5. Step 5: Solve for x
    x = 139,290.93/405.91
  6. Step 6: Final answer
    x = 343.16

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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.