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Finding the Fourth Proportional to 536.86, 805.29 and 146.86

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Solution

The fourth proportional to 536.86, 805.29 and 146.86 is: 220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.86 : 805.29 = 146.86 : x
  2. Step 2: Convert to fraction form
    536.86/805.29 = 146.86/x
  3. Step 3: Cross multiply
    536.86x = 805.29 × 146.86
  4. Step 4: Simplify right side
    536.86x = 118,264.89
  5. Step 5: Solve for x
    x = 118,264.89/536.86
  6. Step 6: Final answer
    x = 220.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.