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Finding the Fourth Proportional to 53.02, 79.74 and 42.90

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Solution

The fourth proportional to 53.02, 79.74 and 42.90 is: 64.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.02 : 79.74 = 42.90 : x
  2. Step 2: Convert to fraction form
    53.02/79.74 = 42.90/x
  3. Step 3: Cross multiply
    53.02x = 79.74 × 42.90
  4. Step 4: Simplify right side
    53.02x = 3,420.85
  5. Step 5: Solve for x
    x = 3,420.85/53.02
  6. Step 6: Final answer
    x = 64.52

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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.