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Finding the Fourth Proportional to 287.99, 397.43 and 157.00

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Solution

The fourth proportional to 287.99, 397.43 and 157.00 is: 216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.99 : 397.43 = 157.00 : x
  2. Step 2: Convert to fraction form
    287.99/397.43 = 157.00/x
  3. Step 3: Cross multiply
    287.99x = 397.43 × 157.00
  4. Step 4: Simplify right side
    287.99x = 62,394.73
  5. Step 5: Solve for x
    x = 62,394.73/287.99
  6. Step 6: Final answer
    x = 216.66

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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.