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Finding the Fourth Proportional to 145.80, 206.55 and 145.80

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Solution

The fourth proportional to 145.80, 206.55 and 145.80 is: 206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.80 : 206.55 = 145.80 : x
  2. Step 2: Convert to fraction form
    145.80/206.55 = 145.80/x
  3. Step 3: Cross multiply
    145.80x = 206.55 × 145.80
  4. Step 4: Simplify right side
    145.80x = 30,114.99
  5. Step 5: Solve for x
    x = 30,114.99/145.80
  6. Step 6: Final answer
    x = 206.55

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.