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Finding the Fourth Proportional to 162.07, 243 and 57.90

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Solution

The fourth proportional to 162.07, 243 and 57.90 is: 86.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.07 : 243 = 57.90 : x
  2. Step 2: Convert to fraction form
    162.07/243 = 57.90/x
  3. Step 3: Cross multiply
    162.07x = 243 × 57.90
  4. Step 4: Simplify right side
    162.07x = 14,069.70
  5. Step 5: Solve for x
    x = 14,069.70/162.07
  6. Step 6: Final answer
    x = 86.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.