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Finding the Fourth Proportional to 162.99, 242.91 and 154.35

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Solution

The fourth proportional to 162.99, 242.91 and 154.35 is: 230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.99 : 242.91 = 154.35 : x
  2. Step 2: Convert to fraction form
    162.99/242.91 = 154.35/x
  3. Step 3: Cross multiply
    162.99x = 242.91 × 154.35
  4. Step 4: Simplify right side
    162.99x = 37,493.16
  5. Step 5: Solve for x
    x = 37,493.16/162.99
  6. Step 6: Final answer
    x = 230.03

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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.