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Finding the Fourth Proportional to 540.84, 810.18 and 348.60

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Solution

The fourth proportional to 540.84, 810.18 and 348.60 is: 522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.84 : 810.18 = 348.60 : x
  2. Step 2: Convert to fraction form
    540.84/810.18 = 348.60/x
  3. Step 3: Cross multiply
    540.84x = 810.18 × 348.60
  4. Step 4: Simplify right side
    540.84x = 282,428.75
  5. Step 5: Solve for x
    x = 282,428.75/540.84
  6. Step 6: Final answer
    x = 522.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.