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Finding the Fourth Proportional to 210.55, 314.40 and 172.10

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Solution

The fourth proportional to 210.55, 314.40 and 172.10 is: 256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.55 : 314.40 = 172.10 : x
  2. Step 2: Convert to fraction form
    210.55/314.40 = 172.10/x
  3. Step 3: Cross multiply
    210.55x = 314.40 × 172.10
  4. Step 4: Simplify right side
    210.55x = 54,108.24
  5. Step 5: Solve for x
    x = 54,108.24/210.55
  6. Step 6: Final answer
    x = 256.99

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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.