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Finding the Fourth Proportional to 156.95, 218.32 and 153.98

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Solution

The fourth proportional to 156.95, 218.32 and 153.98 is: 214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.95 : 218.32 = 153.98 : x
  2. Step 2: Convert to fraction form
    156.95/218.32 = 153.98/x
  3. Step 3: Cross multiply
    156.95x = 218.32 × 153.98
  4. Step 4: Simplify right side
    156.95x = 33,616.91
  5. Step 5: Solve for x
    x = 33,616.91/156.95
  6. Step 6: Final answer
    x = 214.19

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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.