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Finding the Fourth Proportional to 53.40, 74.60 and 53.40

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Solution

The fourth proportional to 53.40, 74.60 and 53.40 is: 74.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.40 : 74.60 = 53.40 : x
  2. Step 2: Convert to fraction form
    53.40/74.60 = 53.40/x
  3. Step 3: Cross multiply
    53.40x = 74.60 × 53.40
  4. Step 4: Simplify right side
    53.40x = 3,983.64
  5. Step 5: Solve for x
    x = 3,983.64/53.40
  6. Step 6: Final answer
    x = 74.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.