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Finding the Fourth Proportional to 162.80, 242.54 and 155.06

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Solution

The fourth proportional to 162.80, 242.54 and 155.06 is: 231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.80 : 242.54 = 155.06 : x
  2. Step 2: Convert to fraction form
    162.80/242.54 = 155.06/x
  3. Step 3: Cross multiply
    162.80x = 242.54 × 155.06
  4. Step 4: Simplify right side
    162.80x = 37,606.26
  5. Step 5: Solve for x
    x = 37,606.26/162.80
  6. Step 6: Final answer
    x = 231.00

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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.