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Finding the Fourth Proportional to 210.15, 314.49 and 180.06

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Solution

The fourth proportional to 210.15, 314.49 and 180.06 is: 269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.15 : 314.49 = 180.06 : x
  2. Step 2: Convert to fraction form
    210.15/314.49 = 180.06/x
  3. Step 3: Cross multiply
    210.15x = 314.49 × 180.06
  4. Step 4: Simplify right side
    210.15x = 56,627.07
  5. Step 5: Solve for x
    x = 56,627.07/210.15
  6. Step 6: Final answer
    x = 269.46

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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.