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Finding the Fourth Proportional to 53.01, 78.99 and 50.07

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Solution

The fourth proportional to 53.01, 78.99 and 50.07 is: 74.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.01 : 78.99 = 50.07 : x
  2. Step 2: Convert to fraction form
    53.01/78.99 = 50.07/x
  3. Step 3: Cross multiply
    53.01x = 78.99 × 50.07
  4. Step 4: Simplify right side
    53.01x = 3,954.38
  5. Step 5: Solve for x
    x = 3,954.38/53.01
  6. Step 6: Final answer
    x = 74.60

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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.