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Finding the Fourth Proportional to 543.42, 750.03 and 368.82

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Solution

The fourth proportional to 543.42, 750.03 and 368.82 is: 509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.42 : 750.03 = 368.82 : x
  2. Step 2: Convert to fraction form
    543.42/750.03 = 368.82/x
  3. Step 3: Cross multiply
    543.42x = 750.03 × 368.82
  4. Step 4: Simplify right side
    543.42x = 276,626.06
  5. Step 5: Solve for x
    x = 276,626.06/543.42
  6. Step 6: Final answer
    x = 509.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.