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Finding the Fourth Proportional to 460.14, 686.33 and 386.16

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Solution

The fourth proportional to 460.14, 686.33 and 386.16 is: 575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.14 : 686.33 = 386.16 : x
  2. Step 2: Convert to fraction form
    460.14/686.33 = 386.16/x
  3. Step 3: Cross multiply
    460.14x = 686.33 × 386.16
  4. Step 4: Simplify right side
    460.14x = 265,033.19
  5. Step 5: Solve for x
    x = 265,033.19/460.14
  6. Step 6: Final answer
    x = 575.98

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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.