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Finding the Fourth Proportional to 346.45, 477.77 and 267.64

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Solution

The fourth proportional to 346.45, 477.77 and 267.64 is: 369.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.45 : 477.77 = 267.64 : x
  2. Step 2: Convert to fraction form
    346.45/477.77 = 267.64/x
  3. Step 3: Cross multiply
    346.45x = 477.77 × 267.64
  4. Step 4: Simplify right side
    346.45x = 127,866.64
  5. Step 5: Solve for x
    x = 127,866.64/346.45
  6. Step 6: Final answer
    x = 369.08

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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.