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Finding the Fourth Proportional to 345.76, 515.69 and 304.72

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Solution

The fourth proportional to 345.76, 515.69 and 304.72 is: 454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.76 : 515.69 = 304.72 : x
  2. Step 2: Convert to fraction form
    345.76/515.69 = 304.72/x
  3. Step 3: Cross multiply
    345.76x = 515.69 × 304.72
  4. Step 4: Simplify right side
    345.76x = 157,141.06
  5. Step 5: Solve for x
    x = 157,141.06/345.76
  6. Step 6: Final answer
    x = 454.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.