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Finding the Fourth Proportional to 405.13, 558.71 and 342.89

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Solution

The fourth proportional to 405.13, 558.71 and 342.89 is: 472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.13 : 558.71 = 342.89 : x
  2. Step 2: Convert to fraction form
    405.13/558.71 = 342.89/x
  3. Step 3: Cross multiply
    405.13x = 558.71 × 342.89
  4. Step 4: Simplify right side
    405.13x = 191,578.33
  5. Step 5: Solve for x
    x = 191,578.33/405.13
  6. Step 6: Final answer
    x = 472.88

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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.