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Finding the Fourth Proportional to 370.61, 509.81 and 355.63

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Solution

The fourth proportional to 370.61, 509.81 and 355.63 is: 489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.61 : 509.81 = 355.63 : x
  2. Step 2: Convert to fraction form
    370.61/509.81 = 355.63/x
  3. Step 3: Cross multiply
    370.61x = 509.81 × 355.63
  4. Step 4: Simplify right side
    370.61x = 181,303.34
  5. Step 5: Solve for x
    x = 181,303.34/370.61
  6. Step 6: Final answer
    x = 489.20

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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.