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Finding the Fourth Proportional to 343.50, 472.77 and 284.01

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Solution

The fourth proportional to 343.50, 472.77 and 284.01 is: 390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.50 : 472.77 = 284.01 : x
  2. Step 2: Convert to fraction form
    343.50/472.77 = 284.01/x
  3. Step 3: Cross multiply
    343.50x = 472.77 × 284.01
  4. Step 4: Simplify right side
    343.50x = 134,271.41
  5. Step 5: Solve for x
    x = 134,271.41/343.50
  6. Step 6: Final answer
    x = 390.89

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Why These Related Problems?

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