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Finding the Fourth Proportional to 307.47, 423.93 and 233.67

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Solution

The fourth proportional to 307.47, 423.93 and 233.67 is: 322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.47 : 423.93 = 233.67 : x
  2. Step 2: Convert to fraction form
    307.47/423.93 = 233.67/x
  3. Step 3: Cross multiply
    307.47x = 423.93 × 233.67
  4. Step 4: Simplify right side
    307.47x = 99,059.72
  5. Step 5: Solve for x
    x = 99,059.72/307.47
  6. Step 6: Final answer
    x = 322.18

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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.