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Finding the Fourth Proportional to 386.64, 536.76 and 374.76

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Solution

The fourth proportional to 386.64, 536.76 and 374.76 is: 520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.64 : 536.76 = 374.76 : x
  2. Step 2: Convert to fraction form
    386.64/536.76 = 374.76/x
  3. Step 3: Cross multiply
    386.64x = 536.76 × 374.76
  4. Step 4: Simplify right side
    386.64x = 201,156.18
  5. Step 5: Solve for x
    x = 201,156.18/386.64
  6. Step 6: Final answer
    x = 520.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.