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Finding the Fourth Proportional to 430.48, 642.14 and 362.44

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Solution

The fourth proportional to 430.48, 642.14 and 362.44 is: 540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.48 : 642.14 = 362.44 : x
  2. Step 2: Convert to fraction form
    430.48/642.14 = 362.44/x
  3. Step 3: Cross multiply
    430.48x = 642.14 × 362.44
  4. Step 4: Simplify right side
    430.48x = 232,737.22
  5. Step 5: Solve for x
    x = 232,737.22/430.48
  6. Step 6: Final answer
    x = 540.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.