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Finding the Fourth Proportional to 346, 517.16 and 284.80

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Solution

The fourth proportional to 346, 517.16 and 284.80 is: 425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    346 : 517.16 = 284.80 : x
  2. Step 2: Convert to fraction form
    346/517.16 = 284.80/x
  3. Step 3: Cross multiply
    346x = 517.16 × 284.80
  4. Step 4: Simplify right side
    346x = 147,287.17
  5. Step 5: Solve for x
    x = 147,287.17/346
  6. Step 6: Final answer
    x = 425.69

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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.