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Finding the Fourth Proportional to 345.61, 476.99 and 316.45

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Solution

The fourth proportional to 345.61, 476.99 and 316.45 is: 436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.61 : 476.99 = 316.45 : x
  2. Step 2: Convert to fraction form
    345.61/476.99 = 316.45/x
  3. Step 3: Cross multiply
    345.61x = 476.99 × 316.45
  4. Step 4: Simplify right side
    345.61x = 150,943.49
  5. Step 5: Solve for x
    x = 150,943.49/345.61
  6. Step 6: Final answer
    x = 436.75

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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.