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Finding the Fourth Proportional to 210.13, 313.48 and 207.40

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Solution

The fourth proportional to 210.13, 313.48 and 207.40 is: 309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.13 : 313.48 = 207.40 : x
  2. Step 2: Convert to fraction form
    210.13/313.48 = 207.40/x
  3. Step 3: Cross multiply
    210.13x = 313.48 × 207.40
  4. Step 4: Simplify right side
    210.13x = 65,015.75
  5. Step 5: Solve for x
    x = 65,015.75/210.13
  6. Step 6: Final answer
    x = 309.41

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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.