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Finding the Fourth Proportional to 464.05, 695.04 and 258.40

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Solution

The fourth proportional to 464.05, 695.04 and 258.40 is: 387.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.05 : 695.04 = 258.40 : x
  2. Step 2: Convert to fraction form
    464.05/695.04 = 258.40/x
  3. Step 3: Cross multiply
    464.05x = 695.04 × 258.40
  4. Step 4: Simplify right side
    464.05x = 179,598.34
  5. Step 5: Solve for x
    x = 179,598.34/464.05
  6. Step 6: Final answer
    x = 387.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.