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Finding the Fourth Proportional to 349.22, 482.16 and 266.76

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Solution

The fourth proportional to 349.22, 482.16 and 266.76 is: 368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.22 : 482.16 = 266.76 : x
  2. Step 2: Convert to fraction form
    349.22/482.16 = 266.76/x
  3. Step 3: Cross multiply
    349.22x = 482.16 × 266.76
  4. Step 4: Simplify right side
    349.22x = 128,621.00
  5. Step 5: Solve for x
    x = 128,621.00/349.22
  6. Step 6: Final answer
    x = 368.31

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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.