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Finding the Fourth Proportional to 345.64, 476.96 and 190.39

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Solution

The fourth proportional to 345.64, 476.96 and 190.39 is: 262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.64 : 476.96 = 190.39 : x
  2. Step 2: Convert to fraction form
    345.64/476.96 = 190.39/x
  3. Step 3: Cross multiply
    345.64x = 476.96 × 190.39
  4. Step 4: Simplify right side
    345.64x = 90,807.46
  5. Step 5: Solve for x
    x = 90,807.46/345.64
  6. Step 6: Final answer
    x = 262.72

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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.