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Finding the Fourth Proportional to 345.53, 476.50 and 267.02

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Solution

The fourth proportional to 345.53, 476.50 and 267.02 is: 368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.53 : 476.50 = 267.02 : x
  2. Step 2: Convert to fraction form
    345.53/476.50 = 267.02/x
  3. Step 3: Cross multiply
    345.53x = 476.50 × 267.02
  4. Step 4: Simplify right side
    345.53x = 127,232.31
  5. Step 5: Solve for x
    x = 127,232.31/345.53
  6. Step 6: Final answer
    x = 368.23

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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.