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Finding the Fourth Proportional to 307.15, 423.70 and 233.35

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Solution

The fourth proportional to 307.15, 423.70 and 233.35 is: 321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.15 : 423.70 = 233.35 : x
  2. Step 2: Convert to fraction form
    307.15/423.70 = 233.35/x
  3. Step 3: Cross multiply
    307.15x = 423.70 × 233.35
  4. Step 4: Simplify right side
    307.15x = 98,870.40
  5. Step 5: Solve for x
    x = 98,870.40/307.15
  6. Step 6: Final answer
    x = 321.90

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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.