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Finding the Fourth Proportional to 40.20, 56.40 and 40.20

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Solution

The fourth proportional to 40.20, 56.40 and 40.20 is: 56.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.20 : 56.40 = 40.20 : x
  2. Step 2: Convert to fraction form
    40.20/56.40 = 40.20/x
  3. Step 3: Cross multiply
    40.20x = 56.40 × 40.20
  4. Step 4: Simplify right side
    40.20x = 2,267.28
  5. Step 5: Solve for x
    x = 2,267.28/40.20
  6. Step 6: Final answer
    x = 56.40

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1.5x scale

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.