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Finding the Fourth Proportional to 345.78, 476.90 and 247.50

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Solution

The fourth proportional to 345.78, 476.90 and 247.50 is: 341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.78 : 476.90 = 247.50 : x
  2. Step 2: Convert to fraction form
    345.78/476.90 = 247.50/x
  3. Step 3: Cross multiply
    345.78x = 476.90 × 247.50
  4. Step 4: Simplify right side
    345.78x = 118,032.75
  5. Step 5: Solve for x
    x = 118,032.75/345.78
  6. Step 6: Final answer
    x = 341.35

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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.