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Finding the Fourth Proportional to 364.19, 542.66 and 325.89

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Solution

The fourth proportional to 364.19, 542.66 and 325.89 is: 485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.19 : 542.66 = 325.89 : x
  2. Step 2: Convert to fraction form
    364.19/542.66 = 325.89/x
  3. Step 3: Cross multiply
    364.19x = 542.66 × 325.89
  4. Step 4: Simplify right side
    364.19x = 176,845.84
  5. Step 5: Solve for x
    x = 176,845.84/364.19
  6. Step 6: Final answer
    x = 485.59

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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.