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Finding the Fourth Proportional to 364.47, 502.45 and 259.51

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Solution

The fourth proportional to 364.47, 502.45 and 259.51 is: 357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.47 : 502.45 = 259.51 : x
  2. Step 2: Convert to fraction form
    364.47/502.45 = 259.51/x
  3. Step 3: Cross multiply
    364.47x = 502.45 × 259.51
  4. Step 4: Simplify right side
    364.47x = 130,389.50
  5. Step 5: Solve for x
    x = 130,389.50/364.47
  6. Step 6: Final answer
    x = 357.76

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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.