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Finding the Fourth Proportional to 354.42, 488.70 and 266.94

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Solution

The fourth proportional to 354.42, 488.70 and 266.94 is: 368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.42 : 488.70 = 266.94 : x
  2. Step 2: Convert to fraction form
    354.42/488.70 = 266.94/x
  3. Step 3: Cross multiply
    354.42x = 488.70 × 266.94
  4. Step 4: Simplify right side
    354.42x = 130,453.58
  5. Step 5: Solve for x
    x = 130,453.58/354.42
  6. Step 6: Final answer
    x = 368.08

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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.