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Finding the Fourth Proportional to 215.64, 299.16 and 207.72

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Solution

The fourth proportional to 215.64, 299.16 and 207.72 is: 288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.64 : 299.16 = 207.72 : x
  2. Step 2: Convert to fraction form
    215.64/299.16 = 207.72/x
  3. Step 3: Cross multiply
    215.64x = 299.16 × 207.72
  4. Step 4: Simplify right side
    215.64x = 62,141.52
  5. Step 5: Solve for x
    x = 62,141.52/215.64
  6. Step 6: Final answer
    x = 288.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.