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Finding the Fourth Proportional to 287.34, 432.59 and 196.62

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Solution

The fourth proportional to 287.34, 432.59 and 196.62 is: 296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.34 : 432.59 = 196.62 : x
  2. Step 2: Convert to fraction form
    287.34/432.59 = 196.62/x
  3. Step 3: Cross multiply
    287.34x = 432.59 × 196.62
  4. Step 4: Simplify right side
    287.34x = 85,055.85
  5. Step 5: Solve for x
    x = 85,055.85/287.34
  6. Step 6: Final answer
    x = 296.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.