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Finding the Fourth Proportional to 263.02, 362.16 and 230.08

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Solution

The fourth proportional to 263.02, 362.16 and 230.08 is: 316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.02 : 362.16 = 230.08 : x
  2. Step 2: Convert to fraction form
    263.02/362.16 = 230.08/x
  3. Step 3: Cross multiply
    263.02x = 362.16 × 230.08
  4. Step 4: Simplify right side
    263.02x = 83,325.77
  5. Step 5: Solve for x
    x = 83,325.77/263.02
  6. Step 6: Final answer
    x = 316.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.