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Finding the Fourth Proportional to 287.93, 429.94 and 229.50

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Solution

The fourth proportional to 287.93, 429.94 and 229.50 is: 342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.93 : 429.94 = 229.50 : x
  2. Step 2: Convert to fraction form
    287.93/429.94 = 229.50/x
  3. Step 3: Cross multiply
    287.93x = 429.94 × 229.50
  4. Step 4: Simplify right side
    287.93x = 98,671.52
  5. Step 5: Solve for x
    x = 98,671.52/287.93
  6. Step 6: Final answer
    x = 342.69

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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.