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Finding the Fourth Proportional to 53, 79.02 and 49.94

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Solution

The fourth proportional to 53, 79.02 and 49.94 is: 74.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53 : 79.02 = 49.94 : x
  2. Step 2: Convert to fraction form
    53/79.02 = 49.94/x
  3. Step 3: Cross multiply
    53x = 79.02 × 49.94
  4. Step 4: Simplify right side
    53x = 3,946.01
  5. Step 5: Solve for x
    x = 3,946.01/53
  6. Step 6: Final answer
    x = 74.45

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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.