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Finding the Fourth Proportional to 305.05, 420.64 and 230.53

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Solution

The fourth proportional to 305.05, 420.64 and 230.53 is: 317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.05 : 420.64 = 230.53 : x
  2. Step 2: Convert to fraction form
    305.05/420.64 = 230.53/x
  3. Step 3: Cross multiply
    305.05x = 420.64 × 230.53
  4. Step 4: Simplify right side
    305.05x = 96,970.14
  5. Step 5: Solve for x
    x = 96,970.14/305.05
  6. Step 6: Final answer
    x = 317.89

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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.