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Finding the Fourth Proportional to 162.58, 242.71 and 156.88

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Solution

The fourth proportional to 162.58, 242.71 and 156.88 is: 234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.58 : 242.71 = 156.88 : x
  2. Step 2: Convert to fraction form
    162.58/242.71 = 156.88/x
  3. Step 3: Cross multiply
    162.58x = 242.71 × 156.88
  4. Step 4: Simplify right side
    162.58x = 38,075.56
  5. Step 5: Solve for x
    x = 38,075.56/162.58
  6. Step 6: Final answer
    x = 234.20

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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.