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Finding the Fourth Proportional to 287.17, 429.11 and 195.10

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Solution

The fourth proportional to 287.17, 429.11 and 195.10 is: 291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.17 : 429.11 = 195.10 : x
  2. Step 2: Convert to fraction form
    287.17/429.11 = 195.10/x
  3. Step 3: Cross multiply
    287.17x = 429.11 × 195.10
  4. Step 4: Simplify right side
    287.17x = 83,719.36
  5. Step 5: Solve for x
    x = 83,719.36/287.17
  6. Step 6: Final answer
    x = 291.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.