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Finding the Fourth Proportional to 386.95, 534.23 and 345.43

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Solution

The fourth proportional to 386.95, 534.23 and 345.43 is: 476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.95 : 534.23 = 345.43 : x
  2. Step 2: Convert to fraction form
    386.95/534.23 = 345.43/x
  3. Step 3: Cross multiply
    386.95x = 534.23 × 345.43
  4. Step 4: Simplify right side
    386.95x = 184,538.60
  5. Step 5: Solve for x
    x = 184,538.60/386.95
  6. Step 6: Final answer
    x = 476.91

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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.