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Finding the Fourth Proportional to 346.05, 477.72 and 267.18

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Solution

The fourth proportional to 346.05, 477.72 and 267.18 is: 368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.05 : 477.72 = 267.18 : x
  2. Step 2: Convert to fraction form
    346.05/477.72 = 267.18/x
  3. Step 3: Cross multiply
    346.05x = 477.72 × 267.18
  4. Step 4: Simplify right side
    346.05x = 127,637.23
  5. Step 5: Solve for x
    x = 127,637.23/346.05
  6. Step 6: Final answer
    x = 368.84

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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.