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Finding the Fourth Proportional to 219.15, 302.55 and 145.53

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Solution

The fourth proportional to 219.15, 302.55 and 145.53 is: 200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.15 : 302.55 = 145.53 : x
  2. Step 2: Convert to fraction form
    219.15/302.55 = 145.53/x
  3. Step 3: Cross multiply
    219.15x = 302.55 × 145.53
  4. Step 4: Simplify right side
    219.15x = 44,030.10
  5. Step 5: Solve for x
    x = 44,030.10/219.15
  6. Step 6: Final answer
    x = 200.91

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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.