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Finding the Fourth Proportional to 215.16, 296.80 and 156.07

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Solution

The fourth proportional to 215.16, 296.80 and 156.07 is: 215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.16 : 296.80 = 156.07 : x
  2. Step 2: Convert to fraction form
    215.16/296.80 = 156.07/x
  3. Step 3: Cross multiply
    215.16x = 296.80 × 156.07
  4. Step 4: Simplify right side
    215.16x = 46,321.58
  5. Step 5: Solve for x
    x = 46,321.58/215.16
  6. Step 6: Final answer
    x = 215.29

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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.