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Finding the Fourth Proportional to 345.58, 515.83 and 316.72

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Solution

The fourth proportional to 345.58, 515.83 and 316.72 is: 472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.58 : 515.83 = 316.72 : x
  2. Step 2: Convert to fraction form
    345.58/515.83 = 316.72/x
  3. Step 3: Cross multiply
    345.58x = 515.83 × 316.72
  4. Step 4: Simplify right side
    345.58x = 163,373.68
  5. Step 5: Solve for x
    x = 163,373.68/345.58
  6. Step 6: Final answer
    x = 472.75

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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.