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Finding the Fourth Proportional to 386.20, 525.70 and 386.20

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Solution

The fourth proportional to 386.20, 525.70 and 386.20 is: 525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.20 : 525.70 = 386.20 : x
  2. Step 2: Convert to fraction form
    386.20/525.70 = 386.20/x
  3. Step 3: Cross multiply
    386.20x = 525.70 × 386.20
  4. Step 4: Simplify right side
    386.20x = 203,025.34
  5. Step 5: Solve for x
    x = 203,025.34/386.20
  6. Step 6: Final answer
    x = 525.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.