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Finding the Fourth Proportional to 210.16, 313.48 and 203.20

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Solution

The fourth proportional to 210.16, 313.48 and 203.20 is: 303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.16 : 313.48 = 203.20 : x
  2. Step 2: Convert to fraction form
    210.16/313.48 = 203.20/x
  3. Step 3: Cross multiply
    210.16x = 313.48 × 203.20
  4. Step 4: Simplify right side
    210.16x = 63,699.14
  5. Step 5: Solve for x
    x = 63,699.14/210.16
  6. Step 6: Final answer
    x = 303.10

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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.