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Finding the Fourth Proportional to 145.48, 200.76 and 80

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Solution

The fourth proportional to 145.48, 200.76 and 80 is: 110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.48 : 200.76 = 80 : x
  2. Step 2: Convert to fraction form
    145.48/200.76 = 80/x
  3. Step 3: Cross multiply
    145.48x = 200.76 × 80
  4. Step 4: Simplify right side
    145.48x = 16,060.80
  5. Step 5: Solve for x
    x = 16,060.80/145.48
  6. Step 6: Final answer
    x = 110.40

Related Problems

Find fourth proportional to 72.74, 100.38 and 40
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.