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Finding the Fourth Proportional to 306.23, 420.95 and 264.06

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Solution

The fourth proportional to 306.23, 420.95 and 264.06 is: 362.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.23 : 420.95 = 264.06 : x
  2. Step 2: Convert to fraction form
    306.23/420.95 = 264.06/x
  3. Step 3: Cross multiply
    306.23x = 420.95 × 264.06
  4. Step 4: Simplify right side
    306.23x = 111,156.06
  5. Step 5: Solve for x
    x = 111,156.06/306.23
  6. Step 6: Final answer
    x = 362.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.