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Finding the Fourth Proportional to 162.63, 242.64 and 154.89

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Solution

The fourth proportional to 162.63, 242.64 and 154.89 is: 231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.63 : 242.64 = 154.89 : x
  2. Step 2: Convert to fraction form
    162.63/242.64 = 154.89/x
  3. Step 3: Cross multiply
    162.63x = 242.64 × 154.89
  4. Step 4: Simplify right side
    162.63x = 37,582.51
  5. Step 5: Solve for x
    x = 37,582.51/162.63
  6. Step 6: Final answer
    x = 231.09

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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.