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Finding the Fourth Proportional to 369.40, 558.28 and 363.02

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Solution

The fourth proportional to 369.40, 558.28 and 363.02 is: 548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.40 : 558.28 = 363.02 : x
  2. Step 2: Convert to fraction form
    369.40/558.28 = 363.02/x
  3. Step 3: Cross multiply
    369.40x = 558.28 × 363.02
  4. Step 4: Simplify right side
    369.40x = 202,666.81
  5. Step 5: Solve for x
    x = 202,666.81/369.40
  6. Step 6: Final answer
    x = 548.64

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