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Finding the Fourth Proportional to 53.45, 79.55 and 51.50

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Solution

The fourth proportional to 53.45, 79.55 and 51.50 is: 76.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.45 : 79.55 = 51.50 : x
  2. Step 2: Convert to fraction form
    53.45/79.55 = 51.50/x
  3. Step 3: Cross multiply
    53.45x = 79.55 × 51.50
  4. Step 4: Simplify right side
    53.45x = 4,096.83
  5. Step 5: Solve for x
    x = 4,096.83/53.45
  6. Step 6: Final answer
    x = 76.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.