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Finding the Fourth Proportional to 345.12, 476.44 and 262.24

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Solution

The fourth proportional to 345.12, 476.44 and 262.24 is: 362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.12 : 476.44 = 262.24 : x
  2. Step 2: Convert to fraction form
    345.12/476.44 = 262.24/x
  3. Step 3: Cross multiply
    345.12x = 476.44 × 262.24
  4. Step 4: Simplify right side
    345.12x = 124,941.63
  5. Step 5: Solve for x
    x = 124,941.63/345.12
  6. Step 6: Final answer
    x = 362.02

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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.