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Finding the Fourth Proportional to 364.28, 549.33 and 359.40

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Solution

The fourth proportional to 364.28, 549.33 and 359.40 is: 541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.28 : 549.33 = 359.40 : x
  2. Step 2: Convert to fraction form
    364.28/549.33 = 359.40/x
  3. Step 3: Cross multiply
    364.28x = 549.33 × 359.40
  4. Step 4: Simplify right side
    364.28x = 197,429.20
  5. Step 5: Solve for x
    x = 197,429.20/364.28
  6. Step 6: Final answer
    x = 541.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.