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Finding the Fourth Proportional to 401.60, 555.71 and 342.49

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Solution

The fourth proportional to 401.60, 555.71 and 342.49 is: 473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.60 : 555.71 = 342.49 : x
  2. Step 2: Convert to fraction form
    401.60/555.71 = 342.49/x
  3. Step 3: Cross multiply
    401.60x = 555.71 × 342.49
  4. Step 4: Simplify right side
    401.60x = 190,324.87
  5. Step 5: Solve for x
    x = 190,324.87/401.60
  6. Step 6: Final answer
    x = 473.92

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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.