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Finding the Fourth Proportional to 345.13, 476.28 and 187.77

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Solution

The fourth proportional to 345.13, 476.28 and 187.77 is: 259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.13 : 476.28 = 187.77 : x
  2. Step 2: Convert to fraction form
    345.13/476.28 = 187.77/x
  3. Step 3: Cross multiply
    345.13x = 476.28 × 187.77
  4. Step 4: Simplify right side
    345.13x = 89,431.10
  5. Step 5: Solve for x
    x = 89,431.10/345.13
  6. Step 6: Final answer
    x = 259.12

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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.