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Finding the Fourth Proportional to 235.51, 354.65 and 175.07

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Solution

The fourth proportional to 235.51, 354.65 and 175.07 is: 263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.51 : 354.65 = 175.07 : x
  2. Step 2: Convert to fraction form
    235.51/354.65 = 175.07/x
  3. Step 3: Cross multiply
    235.51x = 354.65 × 175.07
  4. Step 4: Simplify right side
    235.51x = 62,088.59
  5. Step 5: Solve for x
    x = 62,088.59/235.51
  6. Step 6: Final answer
    x = 263.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.