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Finding the Fourth Proportional to 389.06, 535.93 and 364.10

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Solution

The fourth proportional to 389.06, 535.93 and 364.10 is: 501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.06 : 535.93 = 364.10 : x
  2. Step 2: Convert to fraction form
    389.06/535.93 = 364.10/x
  3. Step 3: Cross multiply
    389.06x = 535.93 × 364.10
  4. Step 4: Simplify right side
    389.06x = 195,132.11
  5. Step 5: Solve for x
    x = 195,132.11/389.06
  6. Step 6: Final answer
    x = 501.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.