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Finding the Fourth Proportional to 210.51, 315.59 and 165.06

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Solution

The fourth proportional to 210.51, 315.59 and 165.06 is: 247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.51 : 315.59 = 165.06 : x
  2. Step 2: Convert to fraction form
    210.51/315.59 = 165.06/x
  3. Step 3: Cross multiply
    210.51x = 315.59 × 165.06
  4. Step 4: Simplify right side
    210.51x = 52,090.46
  5. Step 5: Solve for x
    x = 52,090.46/210.51
  6. Step 6: Final answer
    x = 247.45

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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.