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Finding the Fourth Proportional to 283.07, 424.19 and 210.98

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Solution

The fourth proportional to 283.07, 424.19 and 210.98 is: 316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.07 : 424.19 = 210.98 : x
  2. Step 2: Convert to fraction form
    283.07/424.19 = 210.98/x
  3. Step 3: Cross multiply
    283.07x = 424.19 × 210.98
  4. Step 4: Simplify right side
    283.07x = 89,492.43
  5. Step 5: Solve for x
    x = 89,492.43/283.07
  6. Step 6: Final answer
    x = 316.16

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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.