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Finding the Fourth Proportional to 219.40, 307.70 and 219.40

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Solution

The fourth proportional to 219.40, 307.70 and 219.40 is: 307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.40 : 307.70 = 219.40 : x
  2. Step 2: Convert to fraction form
    219.40/307.70 = 219.40/x
  3. Step 3: Cross multiply
    219.40x = 307.70 × 219.40
  4. Step 4: Simplify right side
    219.40x = 67,509.38
  5. Step 5: Solve for x
    x = 67,509.38/219.40
  6. Step 6: Final answer
    x = 307.70

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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.