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Finding the Fourth Proportional to 370.58, 511.51 and 260.08

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Solution

The fourth proportional to 370.58, 511.51 and 260.08 is: 358.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.58 : 511.51 = 260.08 : x
  2. Step 2: Convert to fraction form
    370.58/511.51 = 260.08/x
  3. Step 3: Cross multiply
    370.58x = 511.51 × 260.08
  4. Step 4: Simplify right side
    370.58x = 133,031.59
  5. Step 5: Solve for x
    x = 133,031.59/370.58
  6. Step 6: Final answer
    x = 358.99

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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.