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Finding the Fourth Proportional to 315.06, 434.86 and 210.16

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Solution

The fourth proportional to 315.06, 434.86 and 210.16 is: 290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.06 : 434.86 = 210.16 : x
  2. Step 2: Convert to fraction form
    315.06/434.86 = 210.16/x
  3. Step 3: Cross multiply
    315.06x = 434.86 × 210.16
  4. Step 4: Simplify right side
    315.06x = 91,390.18
  5. Step 5: Solve for x
    x = 91,390.18/315.06
  6. Step 6: Final answer
    x = 290.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.