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Finding the Fourth Proportional to 405.84, 560.28 and 295.12

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Solution

The fourth proportional to 405.84, 560.28 and 295.12 is: 407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.84 : 560.28 = 295.12 : x
  2. Step 2: Convert to fraction form
    405.84/560.28 = 295.12/x
  3. Step 3: Cross multiply
    405.84x = 560.28 × 295.12
  4. Step 4: Simplify right side
    405.84x = 165,349.83
  5. Step 5: Solve for x
    x = 165,349.83/405.84
  6. Step 6: Final answer
    x = 407.43

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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.