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Finding the Fourth Proportional to 354.40, 488.93 and 230.13

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Solution

The fourth proportional to 354.40, 488.93 and 230.13 is: 317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.40 : 488.93 = 230.13 : x
  2. Step 2: Convert to fraction form
    354.40/488.93 = 230.13/x
  3. Step 3: Cross multiply
    354.40x = 488.93 × 230.13
  4. Step 4: Simplify right side
    354.40x = 112,516.31
  5. Step 5: Solve for x
    x = 112,516.31/354.40
  6. Step 6: Final answer
    x = 317.49

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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.