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Finding the Fourth Proportional to 386.65, 576.98 and 345.63

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Solution

The fourth proportional to 386.65, 576.98 and 345.63 is: 515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.65 : 576.98 = 345.63 : x
  2. Step 2: Convert to fraction form
    386.65/576.98 = 345.63/x
  3. Step 3: Cross multiply
    386.65x = 576.98 × 345.63
  4. Step 4: Simplify right side
    386.65x = 199,421.60
  5. Step 5: Solve for x
    x = 199,421.60/386.65
  6. Step 6: Final answer
    x = 515.77

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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.