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Finding the Fourth Proportional to 56.51, 84.18 and 53.02

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Solution

The fourth proportional to 56.51, 84.18 and 53.02 is: 78.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.51 : 84.18 = 53.02 : x
  2. Step 2: Convert to fraction form
    56.51/84.18 = 53.02/x
  3. Step 3: Cross multiply
    56.51x = 84.18 × 53.02
  4. Step 4: Simplify right side
    56.51x = 4,463.05
  5. Step 5: Solve for x
    x = 4,463.05/56.51
  6. Step 6: Final answer
    x = 78.98

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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.