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Finding the Fourth Proportional to 340.13, 469.38 and 188.71

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Solution

The fourth proportional to 340.13, 469.38 and 188.71 is: 260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.13 : 469.38 = 188.71 : x
  2. Step 2: Convert to fraction form
    340.13/469.38 = 188.71/x
  3. Step 3: Cross multiply
    340.13x = 469.38 × 188.71
  4. Step 4: Simplify right side
    340.13x = 88,577.81
  5. Step 5: Solve for x
    x = 88,577.81/340.13
  6. Step 6: Final answer
    x = 260.42

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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.