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Finding the Fourth Proportional to 315.77, 435.72 and 210.93

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Solution

The fourth proportional to 315.77, 435.72 and 210.93 is: 291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.77 : 435.72 = 210.93 : x
  2. Step 2: Convert to fraction form
    315.77/435.72 = 210.93/x
  3. Step 3: Cross multiply
    315.77x = 435.72 × 210.93
  4. Step 4: Simplify right side
    315.77x = 91,904.24
  5. Step 5: Solve for x
    x = 91,904.24/315.77
  6. Step 6: Final answer
    x = 291.05

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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.