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Finding the Fourth Proportional to 386.83, 529.56 and 384.13

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Solution

The fourth proportional to 386.83, 529.56 and 384.13 is: 525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.83 : 529.56 = 384.13 : x
  2. Step 2: Convert to fraction form
    386.83/529.56 = 384.13/x
  3. Step 3: Cross multiply
    386.83x = 529.56 × 384.13
  4. Step 4: Simplify right side
    386.83x = 203,419.88
  5. Step 5: Solve for x
    x = 203,419.88/386.83
  6. Step 6: Final answer
    x = 525.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.