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Finding the Fourth Proportional to 364.80, 542.40 and 364.80

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Solution

The fourth proportional to 364.80, 542.40 and 364.80 is: 542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.80 : 542.40 = 364.80 : x
  2. Step 2: Convert to fraction form
    364.80/542.40 = 364.80/x
  3. Step 3: Cross multiply
    364.80x = 542.40 × 364.80
  4. Step 4: Simplify right side
    364.80x = 197,867.52
  5. Step 5: Solve for x
    x = 197,867.52/364.80
  6. Step 6: Final answer
    x = 542.40

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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.