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Finding the Fourth Proportional to 210.99, 314.79 and 180.57

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Solution

The fourth proportional to 210.99, 314.79 and 180.57 is: 269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.99 : 314.79 = 180.57 : x
  2. Step 2: Convert to fraction form
    210.99/314.79 = 180.57/x
  3. Step 3: Cross multiply
    210.99x = 314.79 × 180.57
  4. Step 4: Simplify right side
    210.99x = 56,841.63
  5. Step 5: Solve for x
    x = 56,841.63/210.99
  6. Step 6: Final answer
    x = 269.40

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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.