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Finding the Fourth Proportional to 287.40, 429.10 and 235.91

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Solution

The fourth proportional to 287.40, 429.10 and 235.91 is: 352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.40 : 429.10 = 235.91 : x
  2. Step 2: Convert to fraction form
    287.40/429.10 = 235.91/x
  3. Step 3: Cross multiply
    287.40x = 429.10 × 235.91
  4. Step 4: Simplify right side
    287.40x = 101,226.25
  5. Step 5: Solve for x
    x = 101,226.25/287.40
  6. Step 6: Final answer
    x = 352.21

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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.