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Finding the Fourth Proportional to 345.49, 476.76 and 188.11

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Solution

The fourth proportional to 345.49, 476.76 and 188.11 is: 259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.49 : 476.76 = 188.11 : x
  2. Step 2: Convert to fraction form
    345.49/476.76 = 188.11/x
  3. Step 3: Cross multiply
    345.49x = 476.76 × 188.11
  4. Step 4: Simplify right side
    345.49x = 89,683.32
  5. Step 5: Solve for x
    x = 89,683.32/345.49
  6. Step 6: Final answer
    x = 259.58

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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.