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Finding the Fourth Proportional to 162.88, 245.30 and 142.84

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Solution

The fourth proportional to 162.88, 245.30 and 142.84 is: 215.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.88 : 245.30 = 142.84 : x
  2. Step 2: Convert to fraction form
    162.88/245.30 = 142.84/x
  3. Step 3: Cross multiply
    162.88x = 245.30 × 142.84
  4. Step 4: Simplify right side
    162.88x = 35,038.65
  5. Step 5: Solve for x
    x = 35,038.65/162.88
  6. Step 6: Final answer
    x = 215.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.